The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the one shown here are related by the equation V = IR. Suppose that V is increasing at the rate of 4 volt/sec while I is decreasing at the rate of - amp/sec. Lett denote time in seconds. Answer the following questions. R . . . b. What is the value of -? dt dt amp/sec (Simplify your answer.) dR to dv c. What equation relates and dt dt dt dR 1 dV 1 dV V di O A. + val dR dt I dt dt B. It dt | dt dR O C. ,di dR 1 dV =/- - + V av dt dt dT O D. dt I dt d. Find the rate at which R is changing when V = 40 volts and I = 4 amp. Is R increasing or decreasing? R is changing at ohm/sec. (Simplify your answer.)A dinghy is pulled toward a dock by a rope from the bow through a ring Ring at edge on the dock 10 ft above the bow. The rope is hauled in at the rate of 2 of dock ft/sec. Complete parts (a) and (b). 110 . . . a. How fast is the boat approaching the dock when 26 ft of rope are out? ft/sec (Type an integer or a simplified fraction.)